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Finding the Fourth Proportional to 9,914.40, 14,869.44 and 5,292

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Solution

The fourth proportional to 9,914.40, 14,869.44 and 5,292 is: 7,936.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,914.40 : 14,869.44 = 5,292 : x
  2. Step 2: Convert to fraction form
    9,914.40/14,869.44 = 5,292/x
  3. Step 3: Cross multiply
    9,914.40x = 14,869.44 × 5,292
  4. Step 4: Simplify right side
    9,914.40x = 78,689,076.48
  5. Step 5: Solve for x
    x = 78,689,076.48/9,914.40
  6. Step 6: Final answer
    x = 7,936.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.